activity
20242026
collaborators

7 papers

math.CO2026

Canonical Ramsey numbers for partite hypergraphs

Matías Azócar Carvajal, Giovanne Santos, Mathias Schacht

We show that canonical Ramsey numbers for partite hypergraphs grow single exponentially for any fixed uniformity.

math.CO2026

Canonical Ramsey theorem for graphs with clean intersections

Matías Azócar Carvajal, Ayush Basu, Christian Reiher +3

Extending earlier results of NeÅ¡etřil and Rödl [Selective graphs and hypergraphs, Ann. Discrete Math. 3 (1978), 181--189], we show that for every ordered graph there exist a…

math.CO2026

Semidegree threshold for spanning trees in oriented graphs

Pedro Araújo, Pedro Araújo, Giovanne Santos +1

We show that for all and , there is some such that, if , then every oriented graph on vertices with minimum semidegree at least $(3/8…

math.CO2025

The Brown-Erdős-Sós conjecture in dense triple systems

Giovanne Santos, Mykhaylo Tyomkyn

The famous Brown-Erdős-Sós conjecture from 1973 states, in an equivalent form, that for any fixed and integer every sufficiently large linear -uniform hypergr…

math.CO2025

Antidirected trees in directed graphs

George Kontogeorgiou, Giovanne Santos, Maya Stein

The Komlós-Sárközy-Szemerédi (KSS) theorem establishes that a certain bound on the minimum degree of a graph guarantees it contains all bounded degree trees of the same order.…

math.CO2024

A study on token digraphs

Cristina G. Fernandes, Carla N. Lintzmayer, Juan P. Peña +4

For a digraph of order and an integer , the -token digraph of is the graph whose vertices are all -subsets of vertices of and, given two su…